71146657261 has 8 divisors (see below), whose sum is σ = 74011168800. Its totient is φ = 68309557680.

The previous prime is 71146657247. The next prime is 71146657289. The reversal of 71146657261 is 16275664117.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 71146657261 - 2⁷ = 71146657133 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71146657201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6847695 + ... + 6858076.

It is an arithmetic number, because the mean of its divisors is an integer number (9251396100).

Almost surely, 2^71146657261 is an apocalyptic number.

It is an amenable number.

71146657261 is a deficient number, since it is larger than the sum of its proper divisors (2864511539).

71146657261 is a wasteful number, since it uses less digits than its factorization.

71146657261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13705979.

The product of its digits is 423360, while the sum is 46.

The spelling of 71146657261 in words is "seventy-one billion, one hundred forty-six million, six hundred fifty-seven thousand, two hundred sixty-one".